Search a number
-
+
3344200398 = 233711804281
BaseRepresentation
bin1100011101010100…
…0111001011001110
322122001200222112000
43013111013023032
523322103403043
61311501453130
7145605143250
oct30725071316
98561628460
103344200398
111466794290
12793b711a6
13413ab9a06
1423a203cd0
151488d42d3
hexc75472ce

3344200398 has 64 divisors (see below), whose sum is σ = 9265328640. Its totient is φ = 868622400.

The previous prime is 3344200397. The next prime is 3344200399. The reversal of 3344200398 is 8930024433.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3344200397) and next prime (3344200399).

It is a super-2 number, since 2×33442003982 = 22367352603966716808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3344200397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397983 + ... + 406298.

It is an arithmetic number, because the mean of its divisors is an integer number (144770760).

Almost surely, 23344200398 is an apocalyptic number.

3344200398 is an abundant number, since it is smaller than the sum of its proper divisors (5921128242).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3344200398 is a wasteful number, since it uses less digits than its factorization.

3344200398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804310 (or 804304 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3344200398 is about 57829.0618806842. The cubic root of 3344200398 is about 1495.4231451366.

The spelling of 3344200398 in words is "three billion, three hundred forty-four million, two hundred thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 804281 1608562 2412843 4825686 5629967 7238529 8847091 11259934 14477058 16889901 17694182 21715587 26541273 33779802 43431174 50669703 53082546 61929637 79623819 101339406 123859274 152009109 159247638 185788911 238871457 304018218 371577822 477742914 557366733 1114733466 1672100199 3344200398